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Theorems · Theorem · group theory

AddSubmonoid.op_top

∀ {M : Type u_2} [inst : AddZeroClass M], ⊤.op = ⊤
Defined in
Mathlib.Algebra.Group.Submonoid.MulOpposite
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses Quot.sound
Assumes
AddZeroClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubmonoid.op_eq_top · cited by 0AddSubmonoid.op_eq_topTop.top · cited by 9680Top.topAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddOpposite · cited by 452AddOppositeAddSubmonoid.op · cited by 28AddSubmonoid.opAddSubmonoid.op_topCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.